Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UD, HU, HH and DH.

A329691

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UD, HU, HH and DH.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =0a(5) =1a(6) =1a(7) =1a(8) =3a(9) =2a(10) =6a(11) =7a(12) =11a(13) =21a(14) =25a(15) =52a(16) =71a(17) =121a(18) =204a(19) =302a(20) =547a(21) =828a(22) =1417a(23) =2333a(24) =3752a(25) =6454a(26) =10344a(27) =17592a(28) =29097a(29) =48292

External references